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Matematicheskie Zametki, 1975, Volume 18, Issue 5, Pages 699–704 (Mi mzm7681)  
This article is cited in 5 scientific papers (total in 5 papers)

The number of integer points under a parabola

V. N. Popov

Leningrad Department of V. A. Steklov Institute of Mathematics, Academy of Sciences of the USSR
Full-text PDF (371 kB) Citations (5)
Abstract: The remainder term for the number of integer points under the parabola in the region $0<x\le b\le a$, $0<y\le x^2/a$ admits a bound $O(a^{1/2+c\ln\ln a})$ with the unimprovable exponent 1/2.
Received: 01.04.1975
English version:
Mathematical Notes, 1975, Volume 18, Issue 5, Pages 1007–1010
DOI: https://doi.org/10.1007/BF01153567
Bibliographic databases:
UDC: 511
Language: Russian
Citation: V. N. Popov, “The number of integer points under a parabola”, Mat. Zametki, 18:5 (1975), 699–704; Math. Notes, 18:5 (1975), 1007–1010
Citation in format AMSBIB
\Bibitem{Pop75}
\by V.~N.~Popov
\paper The number of integer points under a~parabola
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 5
\pages 699--704
\mathnet{http://mi.mathnet.ru/mzm7681}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=396451}
\zmath{https://zbmath.org/?q=an:0317.10056}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 5
\pages 1007--1010
\crossref{https://doi.org/10.1007/BF01153567}
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  • https://www.mathnet.ru/eng/mzm/v18/i5/p699
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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